Home / 1,514.10-2,272.37-856.38

Finding the Fourth Proportional to 1,514.10, 2,272.37 and 856.38

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Solution

The fourth proportional to 1,514.10, 2,272.37 and 856.38 is: 1,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.10 : 2,272.37 = 856.38 : x
  2. Step 2: Convert to fraction form
    1,514.10/2,272.37 = 856.38/x
  3. Step 3: Cross multiply
    1,514.10x = 2,272.37 × 856.38
  4. Step 4: Simplify right side
    1,514.10x = 1,946,012.22
  5. Step 5: Solve for x
    x = 1,946,012.22/1,514.10
  6. Step 6: Final answer
    x = 1,285.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.